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x\times \frac{4.6}{0.2}=8
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times \frac{46}{2}=8
Expand \frac{4.6}{0.2} by multiplying both numerator and the denominator by 10.
x\times 23=8
Divide 46 by 2 to get 23.
x=\frac{8}{23}
Divide both sides by 23.